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Finding the Third Proportional to 713,606 and 1,497,256

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Solution

The third proportional to 713,606 and 1,497,256 is: 3,141,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,606 : 1,497,256 = 1,497,256 : x
  2. Step 2: Convert to fraction form
    713,606/1,497,256 = 1,497,256/x
  3. Step 3: Cross multiply
    713,606x = 1,497,256 × 1,497,256
  4. Step 4: Simplify right side
    713,606x = 2,241,775,529,536
  5. Step 5: Solve for x
    x = 2,241,775,529,536/713,606
  6. Step 6: Final answer
    x = 3,141,475.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.